A 95% confidence interval for the mean weight of apples is (140, 160) grams. Which statement is most accurate?

We are 95% confident the true mean weight is between 140 and 160 grams. A 95% CI describes confidence in the location of the population mean, not individual values.

There is a 95% chance any apple is in this range.

Exactly 95% of apples weigh between 140 and 160 grams.

We are 95% confident the true mean weight is between 140 and 160 grams.

Inference from Sample Statistics and Margin of Error

SAT Math· difficulty 4/5

(140, 160)

A
$The mean is exactly 150 grams.$
B
$There is a 95% chance any apple is in this range.$
C
$Exactly 95% of apples weigh between 140 and 160 grams.$
D
$We are 95% confident the true mean weight is between 140 and 160 grams.$
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Explanation

A 95% CI describes confidence in the location of the population mean, not individual values.

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